She should be outside the hospital around midday, I think she wanders by the main entrance and then stands in the garden but I'm not totally sure, she's definitely outside though.

She exits the hospital at noon every day. Kind of odd considering you can never find her inside the hospital. :P

I just finished the quest. I found information on the quest and read that she should appear around noon, but for some reason she didn't appear when I checked. I exited to the menu and reloaded, and there she was walking out of the hospital. Probably just another one of the small glitches the game seems to have.

I finished the Beauty and the Beast quest, and as I was walking through the side path by the hospital she was leaning against the wall again. I'd forgotten about that quest since she never showed up again after I did it. I don't know what time it was though.

around midday m8.
Same time when you can find the widow at the order merchant.